A spectral finite volume transport scheme on the cubed-sphere

Autores: Vani Cheruvu, Ramachandran D. Nair, Henry M. Tufo
Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 57, Nº. 9, 2007, págs. 1021-1032
Idioma: inglés
DOI: 10.1016/j.apnum.2006.09.008
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Resumen
- Advective processes are of central importance in many applications and their treatment is crucial in the numerical modelling of the transport of trace constituents in atmospheric models. High-order numerical methods offer the promise of accurately capturing these advective processes in atmospheric flows and have been shown to efficiently scale to large numbers of processors. In this paper, a conservative transport scheme based on the nodal high-order spectral finite volume method is developed for the cubed-sphere. A third-order explicit strong stability preserving scheme is employed for the time integration. The reconstruction procedure which we developed avoids the (expensive) calculation of the inverse of the reconstruction matrix. Flux-corrected transport algorithm is implemented to enforce monotonicity in the two-dimensional transport scheme. Two standard advection tests, a solid-body rotation and a deformational flow, were performed to evaluate the spectral finite volume method optionally combined with a flux-corrected transport scheme. Spectral accuracy in space is demonstrated with a linear wave equation.